Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data
We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2021-05-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/mjpaa-2021-0018 |
| _version_ | 1818755166478794752 |
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| author | Moumni Mostafa El Mohamed Deval Sidi |
| author_facet | Moumni Mostafa El Mohamed Deval Sidi |
| author_sort | Moumni Mostafa El |
| collection | DOAJ |
| description | We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable. |
| first_indexed | 2024-12-18T05:34:50Z |
| format | Article |
| id | doaj.art-e2f71f51f85f4d7680c032638f6d9ca1 |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-12-18T05:34:50Z |
| publishDate | 2021-05-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-e2f71f51f85f4d7680c032638f6d9ca12022-12-21T21:19:20ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272021-05-017227729810.2478/mjpaa-2021-0018Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-dataMoumni Mostafa El0Mohamed Deval Sidi1Department of Mathematics, Faculty of Sciences El Jadida, University Chouaib Doukkali, P.O. Box 20, 24000El Jadida, Morocco.Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, P.O. Box 1796Atlas Fez, Morocco.We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.https://doi.org/10.2478/mjpaa-2021-0018nonlinear elliptic equationsanisotropic diffusionvariable exponentsentropy solutionsrenormalized solutionl1-data35j6046e3535d10 |
| spellingShingle | Moumni Mostafa El Mohamed Deval Sidi Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data Moroccan Journal of Pure and Applied Analysis nonlinear elliptic equations anisotropic diffusion variable exponents entropy solutions renormalized solution l1-data 35j60 46e35 35d10 |
| title | Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data |
| title_full | Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data |
| title_fullStr | Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data |
| title_full_unstemmed | Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data |
| title_short | Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data |
| title_sort | entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and l1 data |
| topic | nonlinear elliptic equations anisotropic diffusion variable exponents entropy solutions renormalized solution l1-data 35j60 46e35 35d10 |
| url | https://doi.org/10.2478/mjpaa-2021-0018 |
| work_keys_str_mv | AT moumnimostafael entropyandrenormalizedsolutionsforsomenonlinearanisotropicellipticequationswithvariableexponentsandl1data AT mohameddevalsidi entropyandrenormalizedsolutionsforsomenonlinearanisotropicellipticequationswithvariableexponentsandl1data |